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September 5, 2025Open Access

Dynamical mechanism of neuronal firing in the Hodgkin-Huxley model

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Authors

XZXue ZhongYLYang LiuTNTumurpurev Namnan

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Overview

Analysis reveals critical dynamics of neuronal firing states in the Hodgkin-Huxley model, implying implications for neuroengineering.

Key Points

  • The study shows the Hodgkin-Huxley model exhibits a bistable regime at high currents, influencing neuronal firing.
  • Findings reveal that extreme sensitivity to initial conditions affects firing dynamics, particularly in bistable states.
  • Global dynamics of the model are assessed using the cell mapping method, overcoming previous analysis limitations.
  • This research offers insights into neuronal excitability, impacting future neuroengineering and neuromodulation techniques.

Cite This Study

Zhong et al. (2025) studied this question.

synapsesocial.com/papers/68bb3a352b87ece8dc954c98https://doi.org/10.21203/rs.3.rs-7322686/v1
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Mathematical Neuroscience of Neuronal Excitability Spectral Stability, Critical Slowing, and Nonlinear Transitions in the Hodgkin–Huxley Model2026
  2. 2Mathematical Neuroscience of Neuronal Excitability Spectral Stability, Critical Slowing, and Nonlinear Transitions in the Hodgkin–Huxley Model2026
  3. 3Temperature-Induced Bifurcations and Timescale Warping in the Hodgkin-Huxley Model: Dynamical Systems Insights into Temperature Modulation of Neuronal Excitability and Action Potential Morphology2025
  4. 4Study on the critical dynamics of Hodgkin-Huxley neurons with heterogeneous channel coupling under Lévy noise*2025
  5. 5Neuronal excitability and parameter variability in the Hodgkin-Huxley model2026